In one photo, Louis, who was four months old at the time, affectionately grabbed his granddad's face.
Jackson was tasked with capturing Charles at work, and during his downtime.
The photographer, who has covered the royal family for 15 years, spoke to The Sunday Times about being invited to Clarence House in September to take a series of images to mark Charles' 70th birthday.
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Charles looks typically smart in a pinstripe suit, while Louis is wearing a blue and white outfit. The royal sweetly laughs as the toddler looks over into the distance.
The two new photos taken in the gardens of Clarence House have been shared days after Charles celebrated his milestone birthday on November 14.
A new set of pictures have emerged from a photo shoot with the Prince of Wales and his family to mark his 70th birthday.
The now-iconic photos show Prince George perched on his grandfather's lap, while Princess Charlotte sits next to Camilla, the Duchess of Cornwall. Also adding an adorable touch to the photos are Charles's grandchildren; George, Charlotte, and Louis all make cute appearances, but it's 7-month-old Louis who almost steals the show.
We've only gotten a handful of glimpses of the latest baby Cambridge - once hours after his birth, in sweet portraits with his older sister, and again as he slept through his own christening - so getting to see him again was a real treat.
"A sense of pride in what his children are achieving".